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Finding the Fourth Proportional to 361,226, 541,839 and 98,570

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Solution

The fourth proportional to 361,226, 541,839 and 98,570 is: 147,855

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,226 : 541,839 = 98,570 : x
  2. Step 2: Convert to fraction form
    361,226/541,839 = 98,570/x
  3. Step 3: Cross multiply
    361,226x = 541,839 × 98,570
  4. Step 4: Simplify right side
    361,226x = 53,409,070,230
  5. Step 5: Solve for x
    x = 53,409,070,230/361,226
  6. Step 6: Final answer
    x = 147,855

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.